If cos^−1(2/3x)+cos^−1(3/4x)=π/3 (x>34) then x is equal to :

Question

If $\cos^{-1}\left({2\over3x}\right)+\cos^{-1}\left({3\over4x}\right)={\pi\over3}\quad\left(x>{3\over4}\right)$ then x is equal to :

(1) $\sqrt{145}\over12$

(2) $\sqrt{145}\over10$

(3) $\sqrt{146}\over12$

(4) $\sqrt{145}\over11$